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Finding the Third Proportional to 168,271,572 and 258,485,737

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Solution

The third proportional to 168,271,572 and 258,485,737 is: 397,065,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,271,572 : 258,485,737 = 258,485,737 : x
  2. Step 2: Convert to fraction form
    168,271,572/258,485,737 = 258,485,737/x
  3. Step 3: Cross multiply
    168,271,572x = 258,485,737 × 258,485,737
  4. Step 4: Simplify right side
    168,271,572x = 66,814,876,232,433,168
  5. Step 5: Solve for x
    x = 66,814,876,232,433,168/168,271,572
  6. Step 6: Final answer
    x = 397,065,739.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.